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Finding the Fourth Proportional to 323.80, 484.56 and 202.12

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Solution

The fourth proportional to 323.80, 484.56 and 202.12 is: 302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.80 : 484.56 = 202.12 : x
  2. Step 2: Convert to fraction form
    323.80/484.56 = 202.12/x
  3. Step 3: Cross multiply
    323.80x = 484.56 × 202.12
  4. Step 4: Simplify right side
    323.80x = 97,939.27
  5. Step 5: Solve for x
    x = 97,939.27/323.80
  6. Step 6: Final answer
    x = 302.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.